Rate of Convergence for Double Rational Fourier Series

被引：0
|
作者：
Khachar, Hardeepbhai J. [1 ]
Vyas, Rajendra G. [1 ]
机构：
[1] Maharaja Sayajirao Univ Baroda, Fac Sci, Dept Math, Vadodara 390002, Gujarat, India
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 04期
关键词：
Rational Fourier series; Double rational Fourier series; Rate of convergence; Generalized bounded variation; PARTIAL-SUMS; APPROXIMATION;
D O I：
10.1007/s11785-023-01479-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We calculate the rate of convergence of the double rational Fourier series for regular, bounded, measurable, and two-variable functions. The rectangular oscillation of the two-variable function is used to quantify this rate. Additionally, we give an approximation of convergence rate of the double rational Fourier series for continuous functions with generalized bounded variation.
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页数：17
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